Question

The equivalent resistance between two diametrically opposite points as a wire of 10 Ω resistance is made a circle is 2.5 Ω.
true or false

Answer 1

Answer:

True

Explanation:

When we bend a straight wire of resistance 10 ohms in the form of a circle, the  length of the branches become half and are in parallel

Now it gets divided into 5 ohms which are in parallel combination

$\dfrac{1}{Req \ in \ parallel} = \dfrac{1}{R1} + \dfrac{1}{R2}$

$\dfrac{1}{Req \ in \ parallel} = \dfrac{1}{5} + \dfrac{1}{5}$

$\dfrac{1}{Req \ in \ parallel} = \dfrac{2}{5}$

$Req \ in \ parallel = \dfrac{5}{2}$

$Req \ in \ parallel = 2.5 \Omega$

Hence the Equivalent resistance will be equal to 2.5 ohms